8505972 has 42 divisors (see below), whose sum is σ = 22325618. Its totient is φ = 2834352.

The previous prime is 8505949. The next prime is 8505979. The reversal of 8505972 is 2795058.

It can be written as a sum of positive squares in only one way, i.e., 8503056 + 2916 = 2916^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505979) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1458 + ... + 4374.

Almost surely, 2^8505972 is an apocalyptic number.

It is a pronic number, being equal to 2916×2917.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8505972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162809).

8505972 is an abundant number, since it is smaller than the sum of its proper divisors (13819646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8505972 is a wasteful number, since it uses less digits than its factorization.

8505972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 8505972 is about 2916.4999571404. The cubic root of 8505972 is about 204.1305392877.

The spelling of 8505972 in words is "eight million, five hundred five thousand, nine hundred seventy-two".